Null-controllability for the heat equation with equi-distributed and randomly distributed sensors

by Prof. Ivan Veselić (TU Dortmund)

Thursday Jun 26, 2025, 2:00 PM → 4:00 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

Abstract: We consider the heat equation on finite cubes and all of R^d. We give criteria for null-controllability from two different classes of sensor sets. The first consists of well-distributed deterministic balls, the second of balls around a Poisson point process. We focus on the latter case and discuss the dependence of the control cost on the intensity of the process and the size of the balls.